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Upper semicontinuity of pullback D$\mathcal {D}$ ‐attractors for nonlinear parabolic equation with nonstandard growth condition

Mathematische Nachrichten, 2023
This paper is devoted to the well‐posed problem and the existence of pullback D$\mathcal {D}$ ‐attractors for a class of nonlinear parabolic equation with nonstandard growth condition.
Jiangwei Zhang   +2 more
semanticscholar   +1 more source

Upper semicontinuity of the global attractor for Bresse system with second sound

Dynamical systems, 2023
In this paper, we study the long-time dynamics of Bresse system under mixed homogeneous Dirichlet–Neumann boundary conditions. The heat conduction is given by Cattaneo's law.
M. Freitas   +3 more
semanticscholar   +1 more source

Upper semicontinuity of optimal attractors for viscoelastic equations lacking strong damping

Applicable Analysis, 2022
This paper devotes to investigating the asymptotic behavior of viscoelastic equation with fading memory lacking strong damping term where . Its key feature is the lack of strong mechanical damping term replaced by weaker dissipative term (i.e.
Jiangwei Zhang   +2 more
semanticscholar   +1 more source

Regularity and upper semicontinuity of pullback attractors for non-autonomous Rao–Nakra beam

Nonlinearity, 2022
In this paper we study the long-time dynamics of a non-autonomous Rao–Nakra sandwich beam. The governing equations of Rao–Nakra sandwich beam consist of two wave equations for the longitudinal displacements of the top and bottom layers, and one Euler ...
M. Aouadi
semanticscholar   +1 more source

Upper semicontinuity of pullback attractors for nonclassical diffusion equations with delay

Asymptotic Analysis, 2022
In this paper, we mainly study the upper semicontinuity of pullback D -attractors for a nonclassical diffusion equation with delay term b ( t , u t ) which contains some hereditary characteristics.
Yuming Qin, Qitao Cai
semanticscholar   +1 more source

Existence and upper semicontinuity of random pullback attractors for 2D and 3D non-autonomous stochastic convective Brinkman-Forchheimer equations on whole space

Differential and Integral Equations, 2021
In this work, we analyze the long time behavior of 2D as well as 3D convective Brinkman-Forchheimer (CBF) equations and its stochastic counter part with non-autonomous deterministic forcing term in $\mathbb{R}^d$ $ (d=2, 3)$: $$\frac{\partial\boldsymbol ...
Kush Kinra, M. T. Mohan
semanticscholar   +1 more source

Synchronization of stochastic lattice equations and upper semicontinuity of attractors

Stochastic Analysis and Applications, 2021
We consider a system of two coupled stochastic lattice equations driven by additive white noise processes, where the strength of the coupling is given by a parameter We show that these equations generate a random dynamical system which has a random ...
H. Bessaih   +3 more
semanticscholar   +1 more source

Upper semicontinuity of strong attractors for the Kirchhoff wave model with structural nonlinear damping

Mathematical methods in the applied sciences, 2021
In this paper, we prove the upper semicontinuity of the strong global attractors 𝒜θ on the dissipative index θ in the topology of the stronger space for the Kirchhoff wave model with structural nonlinear damping: utt−ϕ(‖∇u‖2)△u+σ(‖∇u‖2)(−Δ)θut+f(u)=g(x) ,
Yan Qu, Zhijian Yang
semanticscholar   +1 more source

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